IPMAT Indore - If y=a+b _e x then which of the following is true? | PYQs + Solutions

IPMAT Indore

Modern Math

Medium

$\frac{1}{y-a}$ is proportional to $x^{b}$

$y-a$ is proportional to $x^{b}$

$e^{y}$ is proportional to $x^{b}$

$\log _{e} y$ is proportional to $x$

✅ Correct Option: 3

Related questions:

IPMAT Indore 2019

If $x, y, z$ are positive real numbers such that $x^{12} = y^{16} = z^{24}$ and the three quantities $3 \log_y x, 4 \log_z y, n \log_x z$ are in arithmetic progression, then the value of $n$ is

IPMAT Indore 2025

The set of all values of $x$ satisfying the inequality $\log _{\left(x+\frac{1}{x}\right)}\left[\log _{2}\left(\frac{x-1}{x+2}\right)\right]>0$ is

IPMAT Indore 2022

If $\log _{\left(x^{2}\right)} y+\log _{\left(y^{2}\right)} x=1$ and $y=x^{2}-30$ , then the value of $x^{2}+y^{2}$ is ___________.

IPMAT Indore (MCQ) PYQs

Keyboard Shortcuts